Invariant Finsler (α,β)-Metric F2 = 2αβ on Homogeneous Finsler Spaces

Rita Hashem Abdullah Aidaros, S.K. Narasimha Murthy


In this paper, we consider invariant Finsler (α,β)-metric F 2 = 2αβ which are induced by Invariant Riemannian metric and invariant vector fields on homogeneous spaces, and we give the flag curvature formula of them. Then some conclusions in the case of naturally reductive homogeneous spaces, and some examples of geodesically complete (α,β)-metric spaces.

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